2x^2=144.5

Solution for 2x^2=144.5 equation:

2x^2=144.5

We move all terms to the left:

2x^2-(144.5)=0

We add all the numbers together, and all the variables

2x^2-144.5=0

a = 2; b = 0; c = -144.5;
Δ = b2-4ac
Δ = 02-4·2·(-144.5)
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-34}{2*2}=\frac{-34}{4}
=-8+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+34}{2*2}=\frac{34}{4}
=8+1/2
$